Math 102 practice question

Question

The length of a rectangular is 1 inch less than twice the width. Find the length and width if the area is 276 square inches.

Answer 1

L=2w-1,

Length = one less than twice the width

L=Length in inches

w = width

Area = A = Lw = (2w-1)w = 2w^2 -w = 276 in^2

2w^2 -w = 276

use the quadratic formula

w = 1/4 + (1/4)sqr(1+8(276)

w = .25 + .25sqr2209

=47/1 +1/4= 48/4 =

12 inches wide

L= 2(12)-1 = 23 inches Long

23x12 = 276 in^2

answer: 12 by 23 inches